Nanocomposite theory: Nairn model

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Nanocomposite theory: Nairn model. E c = composite modulus E A = CNC modulus; E m = matrix modulus V f = CNC volume fraction; V m = matrix volume fraction G = shear modulus and can be derived from E ρ = fiber aspect ratio (length/diameter) r f  = CNC fiber radius  - PowerPoint PPT Presentation

Transcript of Nanocomposite theory: Nairn model

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Nanocomposite theory: Nairn model

tanh* 1EE AA

tf

mm

m

f

mA

m

mmfA

MA

2

DrV

2V1

VV

G21

G4V

VEVEEE2

)]ln[max(*

mmfc VEVEEA

*

Ec = composite modulusEA = CNC modulus; Em = matrix modulusVf = CNC volume fraction; Vm = matrix volume fractionG = shear modulus and can be derived from Eρ = fiber aspect ratio (length/diameter)rf = CNC fiber radius Dt =interfacial stiffness parameter χ = 0.009 is a universal constant

Model developed by Prof. John Nairn, OSU


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